For what values of b will F(x) = logo x be a decreasing function? A. b>0
B. 0 C. b< 0
D. O >b>-1

is a decreasing function when

This is because we can use the change of base formula to say

If b is between 0 and 1, not including either endpoint, notice how the log(b) term is negative.

For example, if b = 0.5, then log(b) = log(0.5) = -0.301 approximately. I'm using log base 10 to get log(0.5) = -0.301

So for b = 0.5, we have,

The log(x) part on its own is always increasing. The negative coefficient out front flips it to always decreasing.

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step-by-step explanation:

step-by-step explanation:

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